What is the inverse of f(x)=-2x^2-12x-9 ?

The inverse of f(x)=-2x^2-12x-9 is -(12+sqrt(-8x+72))/4 ,-(12-sqrt(-8x+72))/4

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inverse of f(x)=-2x^2-12x-9

inverse

f (x) = - 2 x^{2} - 12 x - 9

- \frac{12 + - 8 x + 72}{4}, - \frac{12 - - 8 x + 72}{4}

Solution steps

y = - 2 x^{2} - 12 x - 9

Replace

x

with

y

x = - 2 y^{2} - 12 y - 9

Solve for

y, x = - 2 y^{2} - 12 y - 9

- \frac{12 + - 8 x + 72}{4}, - \frac{12 - - 8 x + 72}{4}

f (x) = \frac{13 x}{x - 4}

f (x) = ln (1 - 2 x)

2^{x} - 4

f (x) = \frac{6 x - 5}{- 8 x + 8}

y = e^{3 x}

What is the inverse of f(x)=-2x^2-12x-9 ?
The inverse of f(x)=-2x^2-12x-9 is -(12+sqrt(-8x+72))/4 ,-(12-sqrt(-8x+72))/4